Home / 1,217.64-1,826.10-1,022.70

Finding the Fourth Proportional to 1,217.64, 1,826.10 and 1,022.70

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Solution

The fourth proportional to 1,217.64, 1,826.10 and 1,022.70 is: 1,533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.64 : 1,826.10 = 1,022.70 : x
  2. Step 2: Convert to fraction form
    1,217.64/1,826.10 = 1,022.70/x
  3. Step 3: Cross multiply
    1,217.64x = 1,826.10 × 1,022.70
  4. Step 4: Simplify right side
    1,217.64x = 1,867,552.47
  5. Step 5: Solve for x
    x = 1,867,552.47/1,217.64
  6. Step 6: Final answer
    x = 1,533.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.